* Site-Outage Notice: Our engineering elves will be tweaking the Shmoop site from Monday, December 22 10:00 PM PST to Tuesday, December 23 5:00 AM PST. The site will be unavailable during this time.
Dismiss
© 2014 Shmoop University, Inc. All rights reserved.
Squares and Square Roots

Squares and Square Roots

Squares and Square Roots: The Life Quadratic Quiz

Think you’ve got your head wrapped around Squares and Square Roots? Put your knowledge to the test. Good luck — the Stickman is counting on you!
Q. Which of the following is not a quadratic equation?


x2 = -1
5x2 – 5 = 17
x + 3 = 0

y2 + 3 = 4
Q. If the polynomial 4x2 + 9x + c is the square of binomial of degree 1, what is c?


A rarely used type of battery
Q. The polynomial x2 + 11x + c is the square of which binomial?


Q. How many solutions are there to the equation x2 + 12x = -36?


none
one
two
infinitely many
more than I care to think about
Q. How many solutions are there to the equation x2 – 4x = 17?


none
one
two
infinitely many
fourteen-ish
Q. Solve: x2 + 14x + 40 = -5.


x = -3, x = -11
x = -5, x = -9

x = -1, x = 12
This equation has no solutions.
Q. Solve, assuming that a, b, c are constants and c is not zero: cx2 + ax + b = 0.


Q. Solve: 2x2 + 5x + 3 = 7.


x = 0
This equation has no solutions.
Q. If the quadratic equation ax2 + bx + c = 0 has discriminant 0, how many solutions does the equation have?


none
one
two
infinitely many
oh so many
Q. A student was asked to solve the equation 3x2 + 10x – 11 = 0. They wrote down the following work. 

  1.  
  2.   

Where, if anywhere, did the student make their first mistake?



In line 1.
In getting from line 2 to line 3.
In getting from line 3 to line 4.
Filling out their name.
The student made no mistakes.
Advertisement
Noodle's College Search
Advertisement
Advertisement
Advertisement